kishokbabu wrote:A grocer bought 24 kg of coffee beans at price X per kg. One third of the purchased stock got spoiled, and the grocer sold the remaining coffee beans for $200 per kg. If the grocer made an overall profit that equaled twice the cost price of the purchased stock, what was the original purchased price per kg of coffee beans, X?
A) $66 2/3
B) $50 1/3
C) $44 4/9
D) $33 1/3
E) $24 1/2
We can plug in the answers, which represent the cost price per kilogram.
The amount purchased is irrelevant. All that matters is that the profit per kilogram is twice the cost price per kilogram.
Answer choice C: 44 4/9 ≈ 45.
Cost price for 3k = 3*45 = 135.
Selling price for the remaining 2k = 2*200 = 400.
Profit = 400-135 = 265.
Profit/cost = 265/135 ≈ 2.
Success!
The correct answer is
C.
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